I'll share my experience for comparison.
I just did my first soda brew as well (though been doing assistant duty for my roommate in beer brewing for a few years), and the yeast did not react like I thought it would at all. They were stored in the same temperature range, with should have been good for the ale yeast I bought. I was told that with using these plastic bottles, it was best to squeeze one of them in a bit, and when it popped out that I should be about ready on the carbonation level. At day 2, the bottles had not moved hardly at all. I opened one bottle (I made six 20-oz bottles worth) for testing on that second day and it was not that great. I gave the remaining bottles a quick shake and let them continue on their way. Overnight (so at about 56 hours), the yeast went nuts and they all were mildly carbonated with the bottles popped out. Into the fridge, and now I wish I had given them another 8 to 12 hours. It's not too bad though.
We had used that particular brand/strain of ale yeast before, and it had always been rather aggressive. I'm not sure what changed in it. For beer, the temperature was right for the yeast. I'm not sure why soda would be any different. For most ale yeast you should be able to get away with 60F to 90F, though the extremes are not ideal. You usually want to shoot for 70-75F. Check with your homebrew supplier and ask them about a particular yeast you are buying. Hopefully, they can give you a better idea of how the yeast reacts. As was said, typical results are not always guaranteed though.